Question

Given f(x) = x − 7 and g(x) = x2 . Find g(f(4)). g(f(4))

Answer 1

Answer:

value of $g(f(4))$ is 9

Step-by-step explanation:

Given the function:

$f(x) = x-7$ and $g(x) = x^2$

We have to find the value of $g(f(4))$

$g(f(x)) = g(x-7)$

replace x with  x-7 in g(x) we have;

$g(f(x)) = g(x-7) = (x-7)^2$

Put the value of x =4 we get;

$g(f(4)) = (4-7)^2 = (-3)^2 = 9$

Therefore, the value of $g(f(4))$ is 9

Answer 2

Answer:

g(f(4)) = 9

Step-by-step explanation:

We have given two function.

f(x) = x-7 and g(x) = x²

Firstly, We have to find  then substitute x = 4 to find g(f(4)).

g(f(x)) = g(x-7)

Replace x with x-7 in g(x).

g(f(x)) = (x-7)²

putting x = 4 in above equation ,we get

g(f(4)) = (4-7)²

g(f(4)) =(-3)² = 9

g(f(4)) = 9 which  is the answer.